Buckethead Zombie always wore a bucket. Part of it was to assert his uniqueness in an uncaring world. Mostly he just forgot it was there in the first place.

— Buckethead Zombie official description

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The Brain Bucket, also known as the Bucket o' Brains, is a promotionalcosmetic item for the Soldier. It is a dented metal bucket with a narrow trail of dried blood leading up from the rim, speckled by several more droplets on the bucket's handle and body.